DSP

Discrete Signals

Discrete Time Signals Standard Sequences LTI Systems Convolution Sum Difference Equations Correlation

Z-Transform

Z-Transform Definition Properties of ROC Inverse Z-Transform Transfer Function System Response

DFT & FFT

DTFT Overview DFT Basics Properties of DFT Circular vs Linear FFT Algorithms Computations in FFT Goertzel Algorithm

FIR Filters

Filter Types FIR Characteristics FIR Filter Design Window Functions Kaiser Window FIR Structures

IIR Filters

IIR Basics Impulse Invariance Bilinear Transform Butterworth Filters Chebyshev Filters IIR Structures

Multirate DSP

Decimation Interpolation Sampling Rate Conversion Polyphase Decomposition Filter Banks

Adaptive Filters

Adaptive Filter Basics LMS Algorithm RLS Algorithm Noise Cancellation Echo Cancellation Channel Equalization

DSP Applications

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Transfer Function

Poles, zeros, stability analysis.

Darshan N

Updated: 19 March 2026

6 min read

Transfer Function Quiz

Test your ability to analyze LTI systems using transfer functions, poles, and zeros.

Question 1 of 3

Q1.An LTI system has transfer function H(s) = (s + 2) / ((s + 1)(s + 3)). What are the poles and zeros of this system?

Transfer Function H(z)

Discrete system function, FIR vs IIR characterization.

4 min read

Transfer Function

H(s) = Y(s)/X(s), poles and zeros, system characterization.

9 min read

Transfer Function

G(s) = Output/Input, rational polynomial in s.

8 min read

Z-Transform Definition

ROC, properties, standard pairs.

5 min read

Properties of ROC

Effect of causality and stability.

11 min read

Inverse Z-Transform

System Response

Contents

Transfer Function

Transfer Function Quiz

Q1.An LTI system has transfer function H(s) = (s + 2) / ((s + 1)(s + 3)). What are the poles and zeros of this system?

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