1.

Perform the following signal conversions:

1. 1.414 V peak, single-ended signal into dBV, differential.

2. 0.5 V peak-to-peak, single-ended signal into dBm units at 600 ?.

3. 100 mV RMS, differential signal into dBV units.

4. 700 mV RMS, differential signal into peak, single-ended signal.

2.

An FFT analysis reveals that a signal is present in the eleventh bin with a spectral coefficient described by a ₁₁=0.707 and b ₁₁=0.100 V. What is the amplitude of this signal? What is its phase? What is its RMS value? Express the signal amplitude in dBV units.

3.

An FFT analysis reveals that a particular tone has a spectral coefficient of ?0.5- j0.5 V. What is the amplitude of this tone? What is its phase? What is its RMS value? Express the signal amplitude in dBV units.

4.

The small-signal gain of a channel is defined as the derivative of the output voltage with respect to the input voltage. Determine the gain of the following channels:

1. V _out = 0.1+0.99 V _in

2. V _out = 0.1+2 V _in+0.1 V ² _in+0.01 V ³ _in

3. V _out = a ₀+ a ₁ V _in+ a ₂ V ² _in+ a ₃ V ³ _in+ ?+ a _NV ^N _in

4. V _out = 4 tan ^?1( V _in)

5.

The gain of an analog channel as a function of the RMS signal level at its input is assumed...