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Contents

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

Other Topics

Wavelet Transform DSP Processors Fixed vs Floating Point

Other Subjects

Analog Electronics Digital Electronics Signals & Systems Control Systems Electromagnetic Theory Digital Communication Analog Communication Network Analysis Microprocessors VLSI Design Verilog HDL Power Electronics Embedded Systems Electronic Devices

Section Progress17%

1 of 6 articles

Discrete Time Signals

Sequences, operations, energy/power.

Updated: 19 March 2026

4 min read

Discrete Time Signals

Test your understanding of discrete-time sequences, their properties, and index-domain operations.

Question 1 of 3

Q1.A discrete-time signal x[n] = cos(omega_0 * n) is periodic with period N if and only if which condition is satisfied?

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Discrete Time Signals

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Sampling of Discrete Time Signals

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LTI Systems

Linearity, Time-invariance, causality.

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Difference Equations

Describing discrete systems, recursive solving.

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Continuous Time Signals

Signals defined for all time, analog signals.

4 min read

Standard Sequences