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Question

A 10 kHz even-symmetric square wave is passed through a bandpass filter the centre frequency at 30 kHz and 3 dB passband of 6 kHz. The filter output is

Assume strong rejection of the other harmonics and positive real filter gain (zero phase) at30 kHz.

The correct answer is

a nearly perfect cosine wave at 30 kHz

An even square wave has cosine terms at odd harmonics10,30,50,… kHz. The narrow band around30 kHz selects the third harmonic. With the stated zero phase there, the output is nearly a30 kHz cosine.

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Important Questions from Filters

  1. The active filter works well

  2. A band pass filter response has :

    (a) Two critical frequencies
    (b) Quality factor depends on the center frequency and the bandwidth
    (c) Quality factor depends on the critical frequencies
    (d) A voltage gain

    Options :

  3. A phase locked loop (PLL) consists of :

  4. Which among the following has a frequency selective amplifier whose gain decreases from a finite value to zero as the frequency of the sinusoidal input increases from dc to infinity?

  5. The direct form structure of an FIR (finite impulse response) filter is shown in the figure. 

    The filter can be used to approximate a

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