Designing a Bass Boost Amplifier

In the previous tutorial, 1 Watt Audio Power Amplifier was designed. On the basis of application, the audio amplifiers can be categorized into two classes-

1) Pre-Amplifier

2) Power Amplifier

The pre-amplifiers are used to level up the audio signals from a microphone or audio source to standard voltage levels while the power amplifiers are generally used at the output stage of the audio systems to boost audio signals before they are reproduced by the speakers. In this tutorial, a Bass Boost amplifier with 1 Watt output power will be designed. The audio amplifier designed in this project will operate in range from 20 Hz to 20 KHz which is the same as of the audible range of frequencies by humans. The amplifier circuit will be designed to have a variable voltage gain in range from 26 dB to 46 dB.

In Audio terminology, ‘Bass’ is a term used for low frequencies in audio signals and ‘treble’ is a term used for high frequencies in audio signals. A Bass Boost Amplifier helps in amplifying ‘Bass’ or low frequencies in the audio signal to provide a deep bass in the music. Audio Engineers need to work on bass and treble of the audio signals to improve the sound quality. In fact, a Bass Boost Amplifier does not specifically amplifies low frequency signals, instead it amplifies high frequency signals less compared to low frequency signals, so the loudness (amplitude) of the low frequency signals remains high compared to the high frequency signals of the audio. This makes the ‘Bass’ or low frequency signals more audible than high frequency signals of the audio.

The Bass Boost Amplifiers is same as the Power Amplifier except that it has an additional Bass Boost Circuit added to it. So, the Bass Boost Amplifier designed in this tutorial is built upon the same 1 Watt Power Amplifier designed in the previous tutorial. The circuit of this amplifier uses operational amplifier as the building block. So, the LM-386 IC is the heart of the circuit. LM-386 is a low power audio power amplifier IC. The amplifier circuit will be equipped with volume control feature by using a variable resistor at the output.

In the introductory article of this series, various design parameters of the audio amplifier circuits were discussed like Gain, Volume, Skew Rate, Linearity, Bandwidth, Clipping effect, Stability, Efficiency, SNR, Output power, THD and loop grounding. This amplifier circuit will be designed considering the following design parameters –

Gain (Voltage) – 26 dB to 46 dB

Bandwidth – 20 Hz to 20 KHz

Output Power – 1 W

The amplifier will be designed to supply audio to a 10 Watt speaker having an impedance of 8 ohms. The circuit will have the following additional features –

– Bass Boost

– No Clipping Effect

– Volume Control

The designing of the circuit will be followed by testing of the circuit for the verification of the intended design factors and the observation of the output waveform on a CRO to check out for the clipping effect.

Components Required –

Fig. 1: List of components required for Bass Boost Amplifier

Block Diagram –

Fig. 2: Block Diagram of Bass Boost Amplifier

Circuit Connections –

This amplifier circuit is built by assembling the following components together –

1) DC Source – A battery of 12V rating is used to power the circuit. This DC source also provides the bias voltage to the amplifier.

2) Audio Source – The audio input is provided from a smart phone. For receiving audio from the smart phone, an audio jack of 3.5 mm is plugged into the phone. The 3.5 mm audio jack has three wires – one for ground and two wires for left and right channel. As the amplifier is designed for single channel, only one of the channel wires will be connected to the amplifier as audio input. The ground wire of the jack will be connected to the common ground of the circuit.

Fig. 3: Typical Image of 3.5 mm Audio Jack

3) LM386 Audio Power Amplifier – LM386 is a low voltage audio power amplifier IC. It operates between a voltage range of 4 V to 12 V. In this circuit, the IC is provided a bias voltage of 12 V. This IC can drive a load having impedance in range from 4 ohms to 32 ohms. As the speaker used as load at the output of the amplifier has 8 ohms impedance, the IC is suitable to drive it well. Internally, the voltage gain of the IC is set to 20 (26 dB) but it can be set between 20 (26 dB) to 200 (46 dB) by connecting a suitable combination of resistor and capacitor between its pins 1 and 8. The IC has 8 pins in PDIP package with the following pin configuration –

Fig. 4: Table listing pin configuration of LM386 Audio Power Amplifier IC

The IC has the following pin diagram –

Fig. 5: Pin Daigram of LM386

The IC has the following Internal Diagram –

Fig. 6: Internal Circuit Diagram of LM386 Audio Power Amplifier IC

Its internal circuitry can be represented by the following functional diagram –

Fig. 7: Functional Diagram of LM386 Audio Power Amplifier IC

This IC is basically an operational amplifier whose voltage gain can be adjusted by using a proper RC circuit between its gain setting pins. If the gain setting pins are left open, the voltage gain of the amplifier is internally set to 20 (26 dB). For adjusting the gain between the desired range of 20 (26 dB) and 200 (46 dB), a variable resistor (Shown as RV2 in the circuit diagram) of 4.7 Kilo ohms and a capacitor (Shown as C1 in the circuit diagram) of 10 uF are connected between the pins 1 and 8 of the IC. For controlling the output volume level, a variable resistor (Shown as RV1 in the circuit diagram) is connected at the input of the non-inverting pin. This variable resistor actually changes the amplitude (input voltage level) of the input signal as amplitude defines the loudness of the audio signal.

Fig. 8: Typical Image of LM386 Audio Power Amplifier IC

The Pin 2 and 3 are the Input pins of IC. The pin 2 is the inverting input pin and it is grounded. The pin 3 is the non-inverting input pin and is used for feeding the audio signal which is to be amplified along with a 10k potentiometer and a capacitor which blocks any DC signal from the input. The pin 4 is the ground pin and is connected to the common ground. The pin 6 is the Power supply pin of IC and it is connected to 12V DC. A filter capacitor (Shown as C2 in the circuit diagram) of 100 uF is used for removing any high-frequency ripples at the input. At the pin 5 which is the output pin of the IC, a capacitor (Shown as C8 in the circuit diagram) of 1000 uF is connected to block any DC components. The DC components (as are appeared in case of clipping effect) can damage the speaker connected at the output of the circuit.

Along with this capacitor, an RC filter circuit consisting of a resistor (Shown as R1 in the circuit diagram) of 10 ohms and a capacitor (Shown as C6 in the circuit diagram) of 0.05 uF is used at the output pin. This is called a ‘Zobel network’. It ensures the impedance of speaker appears as a steady resistance for the amplifier after output. So it helps in stabilizing the frequency and oscillations at the output. If the capacitor C6 and resistor R1 are interchanged then it would be no longer a Zobel network but still, the output impedance will remain constant. The pin 7 which is the Bypass Terminal pin is grounded with a capacitor for improving the stability of the amplifier output.

4) Speakers – A speaker of 10 Watt power rating and 8 ohms impedance is used as load at the output of the amplifier. The speaker is connected at pin 5 of the IC which is the output pin of the LM386 and the ground wire of the speaker is connected to the common ground.

Fig. 9: Typical Image of 10 Watt 8 Ohms Speaker

5) Bass Boost Circuit – For LM386, frequency response of the IC can be controlled by connecting additional components parallel to the internal feedback resistor. The IC has an internal feedback resistor of 15K ohms internally connected between pins 1 and 5 of the IC. The frequency response of the IC can be altered by connecting a series RC circuit between pins 1 and 5 of the IC. If pin 8 is kept open, a resistor of 10K ohms to 15K ohms can be connected in the RC circuit for 6 dB Bass Boost. If pins 1 and 8 are bypassed by a capacitor, then a resistor of 2K ohms or less can be connected in the RC circuit for the same 6 dB Bass Boost. In the circuit a variable resistor (Shown as RV3 in the circuit diagram) of 10K ohms is connected in series with a capacitor (Shown as C6 in the circuit diagram) of 0.033 uF between pins 1 and 5 to provide the Bass Boost.

While assembling this circuit following precautions must be taken care of –

1.Always use the filtering capacitor at the input terminal of power supply to avoid the unwanted ripples.

2.Use the speaker of equivalent or high power rating as amplifier output power.

3.Always use a series capacitor at the output of the amplifier to block any DC component.

4.Use Zobel network for frequency stability.

5.Always calculate the maximum power rating of the amplifier before connecting it to the speaker. The practical value may differ from theoretical one.

6.For better stability ground the bypass pin using a capacitor.

7.Always check the power rating of LM386 IC in its datasheet, as different companies have different ratings.

8.Avoid clipping of the output signal as it may damage the speaker.

9.Always place the components as close as possible to reduce the noise in the circuit.

10.Always follow star topology when grounding, this will keep the noise low and reduce the problem of loop grounding.

11.For bass control always use a resistor above 2k when pin 1 and 8 are bypassed. But use 15k when 1 and 8 pins are open.

Fig. 10: Prototype of 6 Db Audio Bass Boost Amplifier

How the circuit works –

The LM386 is basically an operational amplifier. The IC comes with an internal gain circuitry which has an internal resistor of 1.35 kilo ohms setting the default gain of the amplifier to 20 (26 dB). The internal resistor can be bypassed by connecting a capacitor between pins 1 and 8 of the IC. On bypassing the internal resistor, the gain is set to 200 (46 dB). The voltage gain of the amplifier can be adjusted between 20 (26 dB) and 200 (46 dB) by connecting a variable resistor in series with the bypassing capacitor.

The output power of LM386 varies as per the DC input voltage or bias voltage. According to the datasheet, the LM386N-1 has the following output power for a 9V supply voltage and 8 ohms load –

At 9V/8E – 500 mW (min) to 700 mW (typical)

Fig. 11: Table listing output characterstics of LM386 IC at 9V Supply and 8 Ohms Load

So, with a supply voltage set to 12V and a load of 8 ohms at the output, the power output of the amplifier can be approximately 1 Watt.

Considering typical power output from the amplifier IC 700 mW (actually for 9 V) and load impedance (purely resistive and independent of frequency) being 8 ohms, the Root Mean Square Voltage at the output of the amplifier can be calculated as follow –

Po= (Vrms)2/R

Where,

Output Power, Po = 700 mW

Load Resistance, R = 8 ohms

On putting the values,

0.7 = (Vrms)2/8

RMS (Root Mean Square) Voltage, Vrms = 2.37 V

So, the peak to peak voltage for 700 mW power is as follow –

Vp-p = Vrms*(2)1/2

Vp-p = 2.37*1.414

Vp-p(maximum)= 3.35 V (approx.)

The maximum current delivered by the IC for 700 mW power output can be calculated as follow –

Po = Vrms*Io

0.7 = 2.37*Io

Io = 295 mA

Maximum Output current, Io = 295 mA (approx.)

The input voltage at 26 dB gain for output Peak to Peak voltage being 3.35 V can be calculated as follow –

Gain = 26 db/20

Gain = Output voltage(peak – peak) / Input voltage(peak-peak)

Input voltage = 3.35/20

Input voltage, Vin (p-p) = 167.5 mV

The input voltage at 46 dB gain for output Peak to Peak voltage being 3.35 V can be calculated as follow –

Gain = 46 db/200

Gain = Output voltage(peak – peak) / Input voltage(peak-peak)

Input voltage = 3.35/200

Input voltage, Vin (p-p) = 16.75 mV

So, on applying an input voltage in range from 16 mV to 160 mV, the LM386 providing a voltage gain between 20 (26 dB) and 200 (46 dB), the output voltage about 3.35V must be obtained. So, the amplitude of the input signal can range from 16 mV to 160 mV without clipping.

Considering maximum power output from the amplifier IC being 1 W and load impedance (purely resistive and independent of frequency) being 8 ohms, the Root Mean Square Voltage at the output of the amplifier can be calculated as follow –

Po= (Vrms)2/R

Where,

Output Power, Po = 1000 mW

Load Resistance, R = 8 ohms

On putting the values,

1 = (Vrms)2/8

RMS (Root Mean Square) Voltage, Vrms = 2.82 V

So, the peak to peak voltage for 1000 mW power is as follow –

Vp-p = Vrms*(2)1/2

Vp-p = 2.82*1.414

Vp-p(maximum)= 4 V (approx.)

The maximum current delivered by the IC for 1000 mW power output can be calculated as follow –

Po = Vrms*Io

1 = 2.82*Io

Io = 355 mA

Maximum Output current, Io = 355 mA (approx.)

The input voltage at 26 dB gain for output Peak to Peak voltage being 4 V can be calculated as follow –

Gain = 26 db/20

Gain = Output voltage(peak – peak) / Input voltage(peak-peak)

Input voltage = 4/20

Input voltage, Vin (p-p) = 200 mV

The input voltage at 46 dB gain for output Peak to Peak voltage being 4 V can be calculated as follow –

Gain = 46 db/200

Gain = Output voltage(peak – peak) / Input voltage(peak-peak)

Input voltage = 4/200

Input voltage, Vin (p-p) = 20 mV

So, on applying an input voltage in range from 20 mV to 200 mV, the LM386 providing a voltage gain between 20 (26 dB) and 200 (46 dB), the output voltage about 4 V must be obtained. So, the amplitude of the input signal for maximum power output of the IC at 12V supply can range from 20 mV to 200 mV without clipping.

Assuming that the IC delivers minimum power as per its datasheet, the input audio signal having amplitude in range from 20 mV to 200 mV with about 10 percent tolerance can be applied at the input of the amplifier. The input signal must be amplified from 20 times to 200 times depending upon the gain set by the variable resistor at pin 8 of the IC.

The RC circuit connected as Bass Boost circuit is actually a low pass filter. It removes most of the noise which is not filtered by the decoupling capacitor. This RC circuit actually does not help in amplifying low frequency signals, in fact it let high frequency signals filtered out so, they are amplified less compared to the low frequency signals, so the loudness (amplitude) of the low frequency signals remains high compared to the high frequency signals of the audio. This makes the ‘Bass’ or low frequency signals more audible than high frequency signals of the audio.

At low frequency, the capacitor C6 has high reactance (Xc = ½*Pi*f) so the external RC network act as an open circuit. In this case, the amplifier behaves as if the RC network is not present. At High frequency, the capacitor C6 has very low reactance and it will act as a short circuit. The RC network effectively act as a 10K ohms resistor which is in parallel to the internal 15K ohms resistor of the IC. So instead of 10K, the equivalent resistance is reduced to 6K ohms (15K || 10K). Therefore, there is more feedback to the output and this reduces the gain of the circuit. So high-frequency signals are less amplified due to reduced gain. In fact, rather than boosting the low frequency signals, this RC network actually reduces the gain at high frequency. So the bass frequency signals are more amplified than high frequency signals. The bass boost of the amplifier can be varied by adjusting the variable resistor RV3. As the resistor value is decreased, the bass gets more amplified compared to treble in the audio.

Testing the circuit –

For the testing of the amplifier circuit, the function generator is used as the input source. The function generator is used to generate a sine wave of constant amplitude and frequency. Any audio signal is also basically a sine wave so a function generator can be used instead of using a microphone or actual audio source. So, the function generator can be used as input source for testing the audio amplifier circuit. During testing, at the output also, a speaker is not used as a load as the speaker is resistive as well as inductive. At different frequencies, its inductance changes which in turn changes the impedance (R and L combination) of the speaker. So, the use of a speaker as load at the output of the amplifier for deriving its specifications may give false or non-standard results. In place of speaker, a dummy load which is purely resistive is used. As resistance does not change with frequency so it can be considered a reliable load independent of the frequency of the input audio signal.

For testing of the amplifier circuit, first the input voltage is set between the applicable range between 20 mV and 200 mV. The frequency of the input signal is set to 1 KHz. Then, the output waveform is observed at CRO and the input signal is increased until the output waveform starts clipping.

At 20 dB gain the following input and output waveforms were observed where input signal is represented by red waveform and the output signal is represented by the yellow waveform –

Fig. 12: Graph showing Bass Boost Frequency Response Observed on CRO

From the output waveform, it can be observed that it starts clipping at 4 V level. From the waveform it can be observed that on decreasing the resistance, low frequency signals have relatively more amplification compared to high frequency signals. So, the bass boost is working fine. Since the pins 1 and 8 are bypassed, on keeping the resistance of the variable resistor RV3 close to 2K ohms, more stable Bass Boosting is obtained.

So, in this tutorial, an audio bass boost amplifier having 1 W power output having a gain in range from 26 dB to 46 dB is built. This amplifier circuit can be used in speakers and other audio systems. The amplifier circuit designed in this tutorial is simple to construct and is small in size. It has a variable gain, volume control and Bass Boost feature.

In the next tutorial, a car audio amplifier using TDA2003 IC will be designed.