Essays on High-Pass Filter

PURPOSE

Design an active second order Low-pass filter and characterize its frequency response.EQUIPMENT AND COMPONENTS Oscilloscope Power Supply Function Generator UA741 or LM741 OP AMP 4.7 nF Capacitors

Resistors

PRELAB 1. The RC circuit is shown in the following figure. Node Voltage Analysis is done in order to generate a transfer function Tvs=V2sV1s. In the circuit, voltage at node A is also the input voltage (V1=VA), and voltage at node D is also the output voltage (V2=VD).

KCL at node B:

V1-VBR1=VB-V21/sC1+VB-VCR2 (1)

KCL at node C:

VB-VCR2=VC1/sC2 (2) V2=uVC→VC=V2u (3)

Simplifying (2):

VB=VC1+sR2C2 (4)

Then, substituting (3) to (4):

VB=V2u1+sR2C2 (5)

Substituting (3) and (5) to (1):

V1-V2u1+sR2C2R1=V2u1+sR2C2-V21sC1+V2u1+sR2C2-V2uR2 V1-V2u1+sR2C2R1=V2u1-u+sR2C21sC1+V2usR2C2R2 V1-V2u1+ ...

Objective:

This experiment is about the implementation and testing of low-pass, high-pass, and band-pass filters. The frequency response of each filter is analyzed using Bode plots. The properties of passive devices will be used to explain the response.

Equipment List:

EQUIPMENT Oscilloscope 2 Function Generators

COMPONENTS

1µF Capacitors 1 kΩ Resistors

Relevant Theory/Background Information:

A low-pass filter is a filter that allows frequencies below a cut-off frequency while filtering out frequencies above this cut-off frequency. For a simple series RC circuit, a low-pass filter can be created by connecting the input signal to the resistor and taking the output from the capacitor. The cut-off frequency ...

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Abstract 3

Introduction 4 Problem 1 4 Problem 2 6 Problem 3 7 Problem 4 9 Problem 5 12 Discussion 13 Conclusion 14

References 15

Appendix 17 Abstract Noisy audio signals are relatively common and unavoidable. An important task of digital signal processing is to tackle this problem, so as to produce an almost, if not noiseless audio signal. One way of doing this is to use Finite Impulse Response (FIR) filters. Here we present our findings on different FIR filters, and their effects on an audio signal provided in ...

Introduction

This report is about the design of a two-way crossover laud speakers. The major task is the building of the circuit diagram. In the design, I have ensured that the 12dB crossover follows the Linkwitz-Riley alignment. This is achieved through the use of a sub-Bessel filter whose Q is 0.5 instead of the common Butterworth alignment resulting from a Q of 0.707. At the crossover frequency, the Butterworth crossovers have a 3dB peak. This is the main problem of such crossovers. This problem occurs when the outputs are acoustically or electrically summed. With a filter whose Q is 0.5, the signal is ...