## Textbooks & Solution Manuals

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

## Tip our Team

Our Website is free to use.
To help us grow, you can support our team with a Small Tip.

## Holooly Tables

All the data tables that you may search for.

## Holooly Help Desk

Need Help? We got you covered.

## Holooly Arabia

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

Products

## Textbooks & Solution Manuals

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

## Holooly Arabia

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

## Holooly Help Desk

Need Help? We got you covered.

## Q. 7.1

(a) Sketch the spectrum of voice for men and women. What does the difference imply about their time-domain waveforms?

(b) Estimate the averaging time, T , in Eq. (7.3) for voice signals.

$P_{av} =\underset{T\rightarrow \infty }{\lim } \frac{1}{T}\int_{−T/2}^{+T/2}{x^2(t)dt}$                                              (7.3)

## Verified Solution

(a) The human voice exhibits frequencies from 20 Hz to 20 kHz. Since women’s voice contain stronger highfrequency components, we expect the two spectra to differ as shown in Fig. 7.5(a). In the time domain, we observe faster changes in women’s voice [Fig. 7.5(b)].

(b) The averaging time must be long enough to include a sufficient number of cycles of the lowest frequencies. That is, the averaging must capture the slowest dynamics in the signal. We must therefore choose T to be at least about 10 cycles of 20 Hz, i.e., roughly 500 ms.