EC8553 DISCRETE TIME SIGNAL PROCESSING

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EC8553 DISCRETE TIME SIGNAL PROCESSING

UNIT -1 
1. Circular convolution using DFT,IDFT***
2. Decimiation in time **
3. DIF-FFT algorithm**
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UNIT-2
1. Buttorworth using bilinear transformation***
2. IIR design by impulse invariant
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3. Chebyshev filter **
4.Design of discrete time IIR filter from analog filter
UNIT-3 Don't share as screenshot -Stuff sector
1. Frequency sampling techniques
2. Hanning window **
3. FIR filter using frequency sampling method
UNIT-4
1. Quantization process (errors introduced)
2. Characteristics of limit cycle oscillation with respect to the round off and overflow error **
3. Noise power**
UNIT-5 Don't share as screenshot -Stuff sector
1.DSP Architecture, Addressing modes
2.TMS320C54 DSP processor
**Problem 

**Very important questions are bolded and may be asked based on this topic

PART-C

1.Compulsory Questions {a case study where the student will have to read and analyse the subject }
mostly asked from unit 2, 3

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SYllabuS
UNIT I DISCRETE FOURIER TRANSFORM
Review of signals and systems, concept of frequency in discrete-time signals, summary of analysis & synthesis equations for FT & DTFT, frequency domain sampling, Discrete Fourier transform (DFT) – deriving DFT from DTFT, properties of DFT – periodicity, symmetry, circular convolution. Linear filtering using DFT. Filtering long data sequences – overlap save and overlap add method. Fast computation of DFT – Radix-2 Decimation-in-time (DIT) Fast Fourier transform (FFT), Decimation-in-frequency (DIF) Fast Fourier transform (FFT). Linear filtering using FFT.
UNIT II INFINITE IMPULSE RESPONSE FILTERS 
Characteristics of practical frequency selective filters. characteristics of commonly used analog filters – Butterworth filters, Chebyshev filters. Design of IIR filters from analog filters (LPF, HPF, BPF, BRF) – Approximation of derivatives, Impulse invariance method, Bilinear transformation. Frequency transformation in the analog domain. Structure of IIR filter – direct form I, direct form II, Cascade, parallel realizations.
UNIT III FINITE IMPULSE RESPONSE FILTERS 
Design of FIR filters – symmetric and Anti-symmetric FIR filters – design of linear phase FIR filters using Fourier series method – FIR filter design using windows (Rectangular, Hamming and Hanning window), Frequency sampling method. FIR filter structures – linear phase structure, direct form realizations
UNIT IV FINITE WORD LENGTH EFFECTS 
Fixed point and floating point number representation – ADC – quantization – truncation and rounding – quantization noise – input / output quantization – coefficient quantization error – product quantization error – overflow error – limit cycle oscillations due to product quantization and
summation – scaling to prevent overflow.
UNIT V INTRODUCTION TO DIGITAL SIGNAL PROCESSORS 
DSP functionalities – circular buffering – DSP architecture – Fixed and Floating point architecture principles – Programming – Application examples.

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