Motorola DSP96002 User Manual page 543

Notation and symbols:
x(n) - Input sample at time n.
d(n) - Desired signal at time n.
f(n) - FIR filter output at time n.
H(n) - Filter coefficient vector at time n.
X(n) - Filter state variable vector at time n. X={x0,x1,x2,x3}
u - Adaptation gain.
ntaps - Number of coefficient taps in the filter. For this
example, ntaps=4.
Exact LMS Algorithm:
e(n)=d(n)-H(n)X(n)
H(n+1)=H(n)+uX(n)e(n) (Coefficient update)
Delayed LMS Algorithm:
e(n)=d(n)-H(n)X(n)
H(n+1)=H(n)+uX(n-1)e(n-1) (Coefficient update)
In the exact LMS algorithm, the output of the FIR filter is first calculated (f(n)) and then the coefficients are
updated using the current error signal and coefficients. In the delayed LMS algorithm, the FIR filter and
coefficient update is performed at the same time. The coefficients are updated with the error value and co-
efficients from the previous sample.
References:
"Adaptive Digital Filters and Signal Analysis", Maurice G. Bellanger
Marcel Dekker, Inc. New York and Basel
"The DLMS Algorithm Suitable for the Pipelined Realization of Adaptive
Filters", Proc. IEEE ASSP Workshop, Academia Sinica, Beijing, 1986
The sections of code shown describe how to initialize all registers, filter an input sample and do the coefficient
update. Only the instructions relating to the filtering and coefficient update are shown as part of the bench-
mark. Instructions executed only once (for initialization) or instructions that may be user application depen-
dent are not included in the benchmark.
ntaps
u
sbuf
B-24
(FIR filter and error)
(FIR filter and error)
Exact LMS Algorithm
equ 4
equ .01
org x:0
ds ntaps
DSP96002 USER'S MANUAL
H={h0,h1,h2,h3}
MOTOROLA