Digital Signal Processing Using MATLAB and Wavelets

Appendix E: Answers to Selected Review Questions

Chapter 1

1.

What is a signal?

2.

What is a system?

3.

What is a transform?

4.

What does x[ n] imply?

5.

What does x( t) imply?

6.

What is the decimal value of the binary fixed-point number 0101.01? (show work)

7.

Represent 75.625 as a fixed-point binary number.

8.

Represent 36.1 as a fixed-point binary number.

9.

Convert the Cartesian point (2, 5) to polar coordinates.

10.

Convert the polar coordinates 4, 25 degrees to Cartesian coordinates.

11.

Explain what we mean by quantization in time, and quantization in amplitude.

12.

Why are sinusoids useful in digital signals?

13.

Why is there a problem using ? = arctan( b/ a) for conversion to polar coordinates?

14.

What are the differences between analog and digital?

Answers

1.

A measurable, variable phenomenon, often a physical quantity that varies with time.

2.

3.

The operation that the system performs.

4.

5.

Signal " x" is indexed by t. Signal " x" is continuous. Index "t" is also continuous. x( t) represents an analog signal.

6.

7.

01001011.101 in binary. Since we did not specify how many bits this number occupies, we will leave it as is, without appending 0s (or truncating it).

8.

9.

r = 5.3852

Since this point is in the first quadrant, no correction is needed.


10.

11.

When a continuous (analog) signal is sampled, or converted to a discrete time-domain signal, we have limited...

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