We sample the signal x(t)=cos(10t) where t is the time in seconds, using an impulse train p(t) with a period of 0.2 seconds. (a) Are the conditions of the sampling theorem satisfied? (b) Plot the Fourier transform X„(jm) of the signal xp(t)=x(t)p(t). (c) We then pass Xp(t) through an ideal bandpass filter with center frequency 10 Hz and a bandwidth of 2 Hz to produce a signal called x,(t). Is x.(1) a perfect reconstruction of x(t) or not? Explain why your answer makes sense.

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Thermistors

A thermistor is a special type of resistor whose resistance is more temperature-dependent than standard resistors.  The resistance of the thermistor decreases with increasing temperature. This is the basic principle of thermistors. This allows the thermistor circuit to detect very small temperature changes that cannot be observed with the Resistance temperature detectors (RTDs) or the thermocouples. Since the resistance of a thermistor is temperature dependent, it can be connected to an electrical circuit to measure body temperature. This high sensitivity to temperature changes makes thermistors very useful for accurately controlling and calibrating temperature measurements. In general, resistance increases with increasing temperature in most metals, but thermistors react negatively.