The Discrete Fourier Transform
1
Introduction
The discrete Fourier transform (DFT) is a fundamental transform in digital signal processing,
with applications in frequency analysis, fast convolution, i
Polytechnic University
EL 6183
EE 4163
DSP lab
Lab #3
DSP Applications Using the DSK board
A)
Objectives
At the end of this lab, students will be using the skills learned in the first two labs to buil
Polytechnic University
EL 6183
EE 4163
DSP lab
Lab #2
Input-Output with the DSK
A)
Objectives
At the end of this lab, students will
Learn about the features of the TLVAIC23 Stereo Codec used in the
TM
LINEAR-PHASE FIR FILTER DESIGN BY LINEAR
PROGRAMMING
Often it is desirable that an FIR lter be designed to minimize
the Chebyshev error subject to linear constraints that the ParksMcClellan algorithm
SPECTRAL FACTORIZATION
Polynomial root nding and the Leja ordering
Spectral factorization is an important ingredient in the design of
minimum-phase lters, and has many other applications. First we
nee
THE REMEZ ALGORITHM
This section describes how to design linear-phase FIR lters based
on the Chebyshev (or minimax) error criterion. The minimization
of the Chebyshev norm is useful because it permits
FINITE PRECISION EFFECTS
1. FLOATING POINT VERSUS FIXED POINT
2. WHEN IS FIXED POINT NEEDED?
3. TYPES OF FINITE PRECISION EFFECTS
4. FACTORS INFLUENCING FINITE PRECISION EFFECTS
5. FINITE PRECISION EF
Short-Time Fourier Transform and Its Inverse
Ivan W. Selesnick April 14, 2009
1
Introduction
The short-time Fourier transform (STFT) of a signal consists of the Fourier transform of overlapping window
SPEECH COMPRESSION
1. Linear Predictive Coding (LPC)
2. LPC is based on AR signal modeling
3. LPC is the basis of speech compression for cell phones, digital answering machines, etc.
4. LPC is a lossy
Fast Convolution Algorithms
Overlap-add, Overlap-save
1
Introduction
One of the rst applications of the (FFT) was to implement convolution
faster than the usual direct method. Finite impulse response
MAXIMALLY FLAT FIR FILTERS
This section describes a family of maximally at symmetric FIR lters rst introduced by Herrmann [2]. The design of these lters is
particularly simple due to the availability
LINEAR-PHASE FIR FILTERS
1. The amplitude response
2. Why linear-phase?
3. The four types of linear-phase FIR lter
4. Amplitude response characteristics
5. Evaluating the amplitude response
6. Zero lo
DIGITAL SIGNAL PROCESSING
INTRODUCTION
1. Types of Signals
2. Digital vs Analog Signal Processing
3. Applications
4. Basic block diagram
5. DSP History
I. Selesnick
EL 713 Lecture Notes
1
TYPES OF SIG
DIGITAL FILTERING
1. Applications
2. Digital and analog lters: Pros and cons
3. IIR digital lters
4. FIR digital lters
5. FIR and IIR lters: Pros and cons
6. Ideal lters
7. The approximation problem
8
THE FAST FOURIER TRANSFORM (FFT)
1. DIRECT COMPUTATION
2. RADIX-2 FFT
3. DECIMATION-IN-TIME FFT
4. FLOWGRAPHS
5. BIT REVERSAL PERMUTATION
6. COMPLEXITY
7. DECIMATION-IN-FREQUENCY FFT
I. Selesnick
EL 7
Polytechnic University
EL 6183
EE 4163
DSP lab
Lab #1
Introduction to, and testing of, the:
DSK TMS320C6713
1
A)
Objectives
At the end of this lab, students
Will know the different components on the D