Discrete time signal processing (DTSP) involves analyzing and processing discrete time signals. Key concepts include discrete time signals which are sequences of numbers, sampling which converts continuous to discrete signals, and time and frequency domain analysis. DTSP is used for filtering signals, including low-pass, high-pass, and band-pass filters. Applications include speech processing, image processing, audio compression, and communications.

1. DTSP functionalities
Mr.C.Ramesh KIT-CBE

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.

6. Filtering in DTSP
● Low-pass filtering
● High-pass filtering
● Band-pass filtering
● Notch filtering

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.

8. Low Pass Filter Waveform

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

10. High Pass Filter Waveform

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.

12. Band Pass Filter Waveform

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.

14. Applications of DTSP
● Speech processing
● Image processing
● Audio compression
● Communications (modulation/demodulation)