... continuous -time
periodic signals and the Fourier transform for finite-energy aperiodic signals. In this
section,we will repeat similar developments for discrete -time signals. The discrete -time
signals ... basic mathematical
representation of periodic signal x(t) with period T
0
(in seconds) is the Fourier series
defined as
Real- Time Digital Signal Processing. Sen M Kuo,Bob H...
... Discrete -Time Signals and Systems, Englewood Cliffs, NJ: Prentice-
Hall, 1983.
[2] V. K. Ingle and J. G. Proakis, Digital Signal Processing Using MATLAB V.4, Boston: PWS
Publishing, 1997.
[3] Signal Processing ... and D. G. Manolakis, Digital Signal Processing ± Principles, Algorithms, and
Applications, 3rd Ed., Englewood Cliffs, NJ: Prentice-Hall, 1996.
[7] S. K. Mitra, Di...
... DESIGN
17
1
Introduction to Real- Time
Digital Signal Processing
Signals can be divided into three categories ± continuous -time (analog) signals,
discrete -time signals, and digital signals. The signals that ... arithmetic
errors.
1.1 Basic Elements of Real- Time DSP Systems
There are two types of DSP applications ± non -real- time and real time. Non -real- time
signa...
... 0:
&
3:1:2
This signal is very convenient for describing a causal (or right-sided) signal xn
for n ! 0. Causal signals are the most commonly encountered signals in real- time
DSP systems.
Sinusoidal signals ... signal x(t) into digital form x(n).
The input signal is first sampled to obtain the discrete -time signal x(nT). Each x(nT)
value is then encoded using B-bit wo...
... signal x(t) into digital form x(n).
The input signal is first sampled to obtain the discrete -time signal x(nT). Each x(nT)
value is then encoded using B-bit wordlength to obtain the digital signal ... as
yn
I
k0
hkxn À k: 3:2:14
Thus the output signal yn of a causal system at time n depends only on present and
past input signals, and does not depend on future i...
... properties of the random processes and introduce fundamental techniques
for processing and analyzing them.
Real- Time Digital Signal Processing. Sen M Kuo, Bob H Lee
Copyright # 2001 John Wiley & Sons ... a time
function xnxn, A with every possible outcome A of an experiment. Each time
function is called a realization of the random process or a random signal. The ensem...
... generating
sinusoidal signals is to design a filter H(z) whose impulse response h(n) is the desired
sinusoidal waveform. With an impulse function dn used as input, the IIR filter will
Real- Time Digital Signal Processing. ... is converted to an analog signal, amplified, and then used to drive
a loudspeaker.
2. Obtain the desired signal d(n). In the acoustic echo canceler, d(n) is...