This document provides an overview of discrete time signal processing (DTSP) functionalities. It discusses key concepts in DTSP including discrete-time signals, sampling, discrete systems, and signal processing. It also describes time domain and frequency domain analysis. Filtering techniques in DTSP are explained, including low-pass, high-pass, band-pass and notch filtering. Signal sampling and applications of DTSP such as speech processing, image processing, audio compression and communications are also summarized.
2. Introduction to Discrete Time Signal Processing
Discrete time signal takes certain numerical values at specified
discrete instants of time, and between these specified instants of
time, the signal is not defined.
Hence, a discrete time signal is basically a sequence of numbers.
3. Key Concepts in DTSP
Discrete-time signals
Sampling
Discrete systems
Signal processing
4. Time Domain Analysis
Time domain analysis provides the transitory response of a system
to be analyzed, and it permits a better understanding of the flow of
both mechanical and electrical energies.
In general, this includes wave propagation, the structural changes of
a system, and electric potential generated by external excitations
5. Frequency Domain Analysis
Frequency domain is a term used to describe the analysis of
mathematical functions or signals with respect to frequency, rather
than time.
The most common purpose for analysis of signals in the frequency
domain is the analysis of signal properties.
7. Low-pass filtering
A low-pass filter (LPF) is a circuit that only passes signals below its
cutoff frequency while attenuating all signals above it.
It is the complement of a high-pass filter, which only passes signals
above its cutoff frequency and attenuates all signals below it.
9. High Pass Filter
A high-pass filter is an EQ curve that is used to remove low-
frequency sounds from an audio signal.
It is called a high-pass filter because it allows high-frequency signals
to pass through, while attenuating (reducing the amplitude of) lower-
frequency signals
11. Band Pass Filter
A bandpass filter allows signals within a selected range of
frequencies to be heard or decoded, while preventing signals at
unwanted frequencies from getting through.
Signals at frequencies outside the band which the receiver is tuned
at, can either saturate or damage the receiver.
13. Signal Sampling
In signal processing, the term sampling refers to the process of reducing
a continuous-time (CT) signal to a discrete-time (DT) signal, which is
defined only on a discrete subset of the time axis.