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BMEN 3311 Hmw 1

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BMEN 3311: Signals and Systems in Biomedical Engineering focuses on analyzing and processing signals (e.g., ECG, EEG) and understanding systems that interact with these signals. Key Topics Signals: Continuous/discrete, time-domain operations, biomedical examples. Systems: Linear time-invariant (LTI) systems, convolution, stability. Frequency Domain: Fourier analysis, spectral analysis, filtering noise. Sampling & Quantization: Nyquist theorem, digitizing signals. Transforms: Laplace and z-transforms for system modeling.

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Uploaded on
December 18, 2024
Number of pages
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Written in
2024/2025
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Class notes
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Lin li
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Hmw 1

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BMEN 3311– HW 1
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1. There are two matrices:
A = [3 1 5; 3 1 3; 1 2 5]
B = [5 3 3; 5 5 2; 1 2 1]
Calculate A.*B and A*B.


2. A signal has a voltage of 6.5 V. The signal is corrupted by an average of 1.2 V of noise. What is
the SNR?




3. What are the two necessary steps to digitizing an analog signal?




4. What is the sampling period for a signal with a sampling frequency of 2.5 kHz? How many
samples are obtained after a 1.5 minutes? At what time was sample 12500 taken?




5. A signal contains the following frequencies, 100 Hz, 247 Hz, and 750 Hz. What is the
Nyquist frequency of the signal?




6. If an 8-bit ADC accepts input voltage from -5V to 5 V, calculate: (a) number of
quantization levels (b) resolution of ADC (c) quantized value of 2.5 V.




7. For a digital signal x[n] (see figure below), draw the y[n] = 2*x[-3n + 2]
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