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

Bilinear Transform

Frequency warping, pre-warping.

Darshan N

Updated: 19 March 2026

5 min read

Bilinear Transform Quiz

Test your knowledge on this topic!

Question 1 of 3

Q1.How does the Bilinear Transform mathematically avoid the frequency aliasing problem present in impulse invariance?

IIR Basics

Feedback, infinite impulse response.

8 min read

IIR Structures

Direct Form I/II, Parallel, Cascade.

4 min read

Chebyshev Filters

Type I and Type II ripple.

12 min read

System Response

Solving difference equations using Z-transform.

7 min read

Wavelet Transform

Short-time Fourier transform limitation, wavelets.

5 min read

Impulse Invariance

Butterworth Filters

Contents