# Questions tagged [polynomial]

The tag has no usage guidance.

11 questions
Filter by
Sorted by
Tagged with
257 views

### Is it correct to call a Savitsky-Golay filter of degree 0 a simple moving average?

I had this question after seeing that polynomial regressions fit polynomial functions of different degrees to a time-series, since the mean of a time series is a constant and that a constant is also a ...
83 views

### Deriving the Langrangian interpolation polynomials in Cook-Toom convolutions

I'm working through Blahut's 'Fast Algorithms for Signal Processing'. Trying to develop an intuition for the Cook-Toom algorithm for convolutions as used by Lavin and Gray in their Winograd paper for ...
39 views

### Relation between Gaussian derivatives and Gausian-windowed Cosine function

I am doing some research on UWB radars which transmit a pulse given by: $$g(t) = p(t) cos(2\pi f_{c}t) = A e^{(-\frac{t^{2}}{2\tau ^{2}})} cos(2\pi f_{c}t)$$ In some other papers, the transmitted ...
143 views

### IIR to FIR, is a best fit polynomial usually necessary?

I'm messing around with IIR/FIR filters and want to convert the former to the latter. I set up a classic impulse response calculation. X[4] = 1.0 Y[0] = 0.0 Y[1] = 0.0 ...
289 views

### Recursive filter with truncated polynomial impulse response

How can we recursively implement a causal discrete-time truncated infinite impulse response (TIIR) filter with an arbitrary truncated polynomial impulse response: h[n] = \begin{cases}\displaystyle\...