1. A sound engineer works on different sound files. (a) She is recording a 60 second mono sound clip of cars passing outside the studio. Her recording equipment samples at 10 kHz and she is using 8-bit sampling. Calculate the size of the sound file. (b) She needs to record a small group of musicians performing a jingle for an advert – the jingle will last for 10 seconds. She calculates that it will need four microphones (i.e. four channels of sound needed) to do this and for a good quality of sound, she needs to use 16-bit sampling at a 48 kHz frequency. Calculate the size of the sound file. (c) She pulls out an old recording that has a size of 2.2 MB. The label on the box says that it was recorded in mono (one channel), that it had a recording sampling frequency of 20 kHz and used 8-bit sampling. Calculate the length of the music. (d) Finally she will prepare a ringing tone to be played before a phone call starts. The length of the sound file needs to be 2 seconds to align with standards and file size should not exceed 8000 bytes. What is the maximum possible sampling frequency that can be used if the quantizer has 256 samples of amplitude?
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
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