PHYS3050 Lab 3 - PHYS3050 Lab 3 Filters By Aysar...

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PHYS3050 Lab 3 Filters By: Aysar Khalid (209728866) Lab Partner: Hassan Chehaitli Submitted on: November 11 th , 2010
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Objective The aim for this lab was to construct and analyze the properties of a low-pass filter. In addition, to understand how the power spectrum of sine, square, saw-tooth, triangular wave and noise are changed due to an RC filter. 3.1 The Fast Fourier Transform (FFT) Feature on the DSO A 50 kHz sinusoidal signal was generated on the DSO. The amplitude of the signal was chosen to be 500 mV. The options on the DSO were then set to MATH Menu > Operation FFT > Window Hanning. Operation FFT was set to allow us to see the Fast Fourier Transformation (FFT) of each type of wave. The window hanning allows for frequency calibration purposes. The following are the observed power spectrum graphs for each wave type: Note: x-axis depicts frequency in kHz and y-axis depicts power in dB Sine Wave The power spectrum is accurate as the spike seen is same at the fundamental frequency of 50 kHz. The graph also shows some noise. Square Wave Relatively even harmonic results can be seen in the square wave spectrum.
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Triangular Wave Odd harmonic results can be seen in the triangular wave spectrum. Saw-Tooth Wave A duality of even and odd harmonic is seen in the saw-tooth wave spectrum. Noise White noise is a random signal (or process) with a flat power spectral density i.e. the signal contains equal power within a fixed bandwidth at any center frequency. According to the definition and by observing the graph we can see that the signal contains equal power within the fixed bandwidth and hence this is white noise.
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3.2 The Low-Pass RC Filter, Part 1 In this part, we constructed an RC Filter circuit using a 1 nF capacitor and a 20 kOhm resistor. Its circuit diagram is shown below.
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