Appendix I

Answers to the Problems

Chapter 2

  1. 2.1(a) c0I-math-001.

  2. 2.1(b) Differentiating c0I-math-002 with respect to c0I-math-003, we find c0I-math-004.

  3. 2.2 The linear expression for c0I-math-005 is

    equation

    Integrating c0I-math-006 (Eq. (2.2)) results in

    I.1 equation

    where c0I-math-008 is an arbitrary constant. This is the quadratic relationship plotted in Fig. 2.4.

  4. 2.3 Convolving the Gaussian input pulse c0I-math-009 with the impulse response c0I-math-010 results in

    I.2

    It thus follows that , which, when ...

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