Hi,
I am new to adaptive signal processing.
This is regarding use of LMS algorithm in adaptive signal processing
where the updated co-efficient are given by
c_new[] = ì * x[n] * [d[n] - (xH *c[n])]
ì - step size
x[n] - Input vector
d[n] - desired response
xH - Hermition transform of x[n]
c[n] - Coefficient vector
to understand LMS algorithm, I took for example y[n] = x[n]^2
where x[n]
I want to know how to model this above equation mathematically?
I have the following concerns:
1. Can we treat vectors as matrices? If yes, are all laws of matrix
algebra applicable to vector algebra also?
2. How could I assume the size of the coefficient vector initially?
3. How should the "Step size" for convergence be taken initially?
4. How do we take Hermation transform for real numbers ?
5. Say, for example, I wanted to multiply c[n] * xH , what are the
considertaions to be made?
Any other suggestions on implementation of LMS algorithm would be
greatly appreciated.
thanks much
Ganesh
