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

Speech Processing Basics Image Processing Basics Audio Compression Radar Signal Processing

Impulse Invariance

Mapping s-plane to z-plane, aliasing.

Darshan N

Updated: 19 March 2026

10 min read

Impulse Invariance Quiz

Test your knowledge on this topic!

Question 1 of 3

Q1.What fundamental mapping equation relates the analog s-plane to the discrete z-plane in the impulse invariance method?

IIR Structures

Direct Form I/II, Parallel, Cascade.

4 min read

Butterworth Filters

Maximally flat response design.

5 min read

Chebyshev Filters

Type I and Type II ripple.

12 min read

FIR Filter Design

Fourier series method, Gibb's phenomenon.

8 min read

FIR Characteristics

Linear phase, stability, implementation.

5 min read

IIR Basics

Bilinear Transform

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