Digital Signal Processing syllabus
UNIT I SIGNALS AND SYSTEMS
Basic elements of DSP – concepts of frequency in Analog and Digital Signals – sampling theorem –Discrete – time signals, systems – Analysis of discrete time LTI systems – Z transform – Convolution– Correlation.
UNIT II FREQUENCY TRANSFORMATIONS
Introduction to DFT – Properties of DFT – Circular Convolution – Filtering methods based on DFT –FFT Algorithms – Decimation – in – time Algorithms, Decimation – in – frequency Algorithms – Use of FFT in Linear Filtering – DCT – Use and Application of DCT.
UNIT III IIR FILTER DESIGN
Structures of IIR – Analog filter design – Discrete time IIR filter from analog filter – IIR filter design by Impulse Invariance, Bilinear transformation, Approximation of derivatives – (LPF, HPF, BPF, BRF) filter design using frequency translation.
UNIT IV FIR FILTER DESIGN
Structures of FIR – Linear phase FIR filter – Fourier Series – Filter design using windowing techniques (Rectangular Window, Hamming Window, Hanning Window), Frequency sampling techniques
UNIT V FINITE WORD LENGTH EFFECTS IN DIGITAL FILTERS
Binary fixed point and floating point number representations – Comparison – Quantization noise –truncation and rounding – quantization noise power- input quantization error- coefficient quantization error – limit cycle oscillations-dead band- Overflow error-signal scaling.
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