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

LTI Systems

Linearity, Time-invariance, causality.

Darshan N

Updated: 19 March 2026

7 min read

LTI Systems Quiz

Test your knowledge of linearity, time-invariance, and causality properties of discrete-time systems.

Question 1 of 3

Q1.The system y[n] = x[n] * x[n-1] is tested for linearity. Is this system linear?

Discrete Time Signals

Sequences, operations, energy/power.

4 min read

Correlation

Auto and Cross correlation.

4 min read

Circular vs Linear

Using DFT for linear convolution.

9 min read

Difference Equations

Describing discrete systems, recursive solving.

6 min read

System Classification

Memory, causality, stability, linearity, time invariance.

5 min read

Standard Sequences

Convolution Sum

Contents