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Questions and Answers
Which one does not involve analog signals?
Which one does not involve analog signals?
The process of transforming analog data into the digital format is called analog-to-digital conversion.
The process of transforming analog data into the digital format is called analog-to-digital conversion.
True
How many values are kept per second if the sampling rate is 100 Hz?
How many values are kept per second if the sampling rate is 100 Hz?
100
What is the highest frequency being recorded called?
What is the highest frequency being recorded called?
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What if we sampled at a rate lower than the Nyquist frequency?
What if we sampled at a rate lower than the Nyquist frequency?
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Human speech are mostly distributed in frequencies under 10kHz. What sampling rate would you pick to capture frequencies up to this frequency?
Human speech are mostly distributed in frequencies under 10kHz. What sampling rate would you pick to capture frequencies up to this frequency?
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To sample this wave, what's the minimum number of samples would you take?
To sample this wave, what's the minimum number of samples would you take?
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In modern days, it is not a thing to worry about anti-aliasing filters because most digital recorders do this automatically for us.
In modern days, it is not a thing to worry about anti-aliasing filters because most digital recorders do this automatically for us.
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The sine function's output is always between -1 and +1.
The sine function's output is always between -1 and +1.
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The ______ is what determines how accurate the Y-axis should be.
The ______ is what determines how accurate the Y-axis should be.
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Analog signals have infinite values.
Analog signals have infinite values.
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Study Notes
Digital Signal Processing
- This course, LING 313, introduces digital signal processing, specifically focusing on its application to linguistic phonetics and speech science.
- The course is taught by Jahurul Islam and covers the 2024W1 term.
- Analog Signals: These are continuous signals, representing a value at every point in time, like a clock's hands moving or a temperature reading throughout a day.
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Challenges of Analog Signals:
- Continuous nature makes storage and analysis difficult as infinite decimal values are possible.
- Painfully slow to analyze using traditional methods.
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Digitization: The process of transforming an analog signal into a digital one is called analog-to-digital conversion.
- This is crucial for modern computing to process the signals.
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Sampling/Sampling Rate:
- Analog-to-digital processes select specific values (samples) from the continuous signal.
- The sampling rate determines how frequently samples are taken.
- Crucial for accurate representation: must sample at twice the frequency of highest frequency component as determined by Nyquist's Theorem for no loss of data.
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Nyquist's Theorem:
- A sinusoidal signal can be exactly reconstructed from its samples if the sampling rate is at least twice the highest frequency of the signal (frequency components).
- Failure to implement this causes aliasing (distortion or the appearance of a signal with a different frequency than the actual one being sampled).
- Anti-aliasing Filter: A filter often used in digitization, to remove frequencies higher than half the desired sampling rate to avoid aliasing
- Downsampling/Resampling: An anti-aliasing filter should be applied before downsampling, a common process of transforming a signal by reducing the sample rate, for effective representation.
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Quantization:
- Assigning a discrete value to a sampled signal.
- The number of quantization levels affects accuracy; more levels produce a more faithful representation.
- A trade-off between signal accuracy and processing power exists.
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Fourier Transform (FT):
- A mathematical technique that decomposes a complex wave into its component frequencies, aiding in analysis.
- Faster versions (FFT) typically utilized in digital implementations for computational efficiency.
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Sine Function/Sine Waves:
- Sine waves: are fundamental building blocks in many signals.
- The values are calculated from right-angled triangles for various angles.
- Sinusoidal values consistently fall within -1 to 1.
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Description
This quiz covers the fundamentals of Digital Signal Processing as taught in LING 313, focusing on its relevance to linguistic phonetics and speech science. Explore key concepts such as analog signals, challenges they present, and the process of digitization. Test your understanding of sampling rates and their impact on signal processing.
