```fl <rxjwg98@gmail.com> writes:

> I read Steven Ray's book: Fundamentals of Statistical Signal
> Processing, Volume I: Estimation Theory. It gives several type
> estimation problems in its first chapter, such as measurement of DC
> voltage in WGN, amplitude/frequency/phase of sine wave, and radar echo
> from a distant plane etc. Most of the examples are used repetitively
> in thereafter chapters except radar echo.

> My project problem has some similarities to radar echo. Before we
> calculate the echo pulse, we have to make sure it is the beginning of
> the echo pulse.

That's the function of detection. How do decide you have a pulse in the
first place?

Further, I have no idea what you mean by "calculate the echo pulse." If
it's your own radar, you know what the echo pulse is and typically use a
matched filter to detect it.

Volume I of Kay's excellent texts is estimation theory; Volume II is
detection theory. The example on radar given in the first chapter of
Volume I is about _estimating_ the range of a radar pulse, NOT detecting
the pulse.

> We may use threshold and/or other criteria, then we calculate the
> echo. Unfortunately, there is no further example on radar echo in the
> book. I do not see any beneficial from this book on my project.

Again, I don't know what you mean by "calculate the echo." Do you mean
that you wish to estimate the range?

> I notice that there is a difference between radar echo example and DC
> voltage measurement, sine wave parameter estimation. The radar echo
> signal is not stationary while the DC voltage and sine wave parameter
> examples are stationary.

Not true. A sine wave in noise is not stationary.

> Now my question is how to model my project (similar to radar echo)
> with the estimation theory? It is a little like a detection problem,
> but I do not study that theory yet.

In any case, here are a few other references on detection, assuming
that's what you need to do:

@BOOK{kayII,
title = "{Fundamentals of Statistical Signal Processing, Volume II: Detection Theory}",
author = "Steven~M.~Kay",
publisher = "Prentice Hall",
year = "1998"}
@book{vantrees,
title = "Detection, Estimation, and Modulation Theory, Part I",
author = "Harry L. Van Trees",
publisher = "Wiley",
year = "2001"}
@book{poor,
title = "An Introduction to Signal Detection and Estimation",
author = "H. Vincent Poor",
publisher = "Springer",
edition = "second",
year = "1998"}
@book{mcdonough,
title = "Detection of Signals in Noise",
author = "{Robert~N.~McDonough and Anthony~D.~Whalen}",
year = "1995"}
@book{hayes,
title = "{Statistical Digital Signal Processing and Modeling}",
author = "Monson~H.~Hayes",
publisher = "Wiley",
year = "1996"}

These are all excellent, but I especially like Poor's text - I like the
way he thinks and writes.
--
Randy Yates
Digital Signal Labs
http://www.digitalsignallabs.com
```
```Hi,