Re: Lowpass equivalent spectrum
- From: Rune Allnor <allnor@xxxxxxxxxxxx>
- Date: Tue, 7 Apr 2009 03:45:36 -0700 (PDT)
On 7 Apr, 07:44, "Rossely" <s...@xxxxxxxx> wrote:
I'm studing bandpass to lowpass conversion. My book says the following:
Lowpass equivalent spectrum, simply equals the positive-frequency portion of
band pass signal, translated down to the origin.
My question is about the signal energy,
Signal energy is irrelevant in this context.
Explanation below.
Why we define Lowpass equivalent?
The LP equivalent is an intermediate tool
during filter design. The general algorithm
for designing e.g. bandpass filters goes
more or less as follows:
1) State the bandpass specification
2) Convert BP spec to LP equivalent spec
3) Design an LP protoytype filter from the
equivalent LP spec
4) Translate LP prototype filter to desired
BP filter
Depending on what type of filter we are
talking about, these operations might be
simple frequency translations (as with
FIRs) or nonlinear mappings (IIRs).
Either way, energy considerations are
irrelevant.
Rune
.
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