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The differences between analog and digital signals in terms of flexibility, ease of development, accuracy, storage, and error handling. Analog signals are fixed once developed, while digital signals can be easily changed by modifying programming. Development and testing of digital signal processors are also more cost-effective. Digital signals consist of finite data points, making them easy to store and duplicate without quality loss. Digital signals also have better error and noise handling capabilities due to powerful error detection and correction algorithms. Examples and comparisons.
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Problem 1: “A signal can be thought of formally as a function of one or more variables that convey information. So, basically any transmission, be it light, sound, electrical impulses, or electromagnetic radiation can be considered a signal as long as it contains information that can be extracted in some way.”
Problem 3: An analog signal will have a data point for any fractional time value between 0 and 1 second. On the other hand, if we have a discrete-time signal, the number of data points will be dependent on the resolution of the signal and will always be less than infinity. So, a discrete-time signal divides the time variable up into a series of discrete points at which the amplitude is known.
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Analog^ Discrete
Problem 7:
Flexibility: As we noted earlier, an analog device, once developed, is fixed. In other words, it cannot be changed or improved without changing circuit boards. A digital system, on the other hand, can be changed simply by modifying the programming of the device. For example, if you have ever upgraded the “firmware” on an electronic product (digital camera, CD or DVD drive, or network switch for example), you have changed the programming of the microprocessor. The flexibility of digital signal processing devices is probably best illustrated by the computer. Based on the program that is running, a computer can do numerous things that involve processing signals from input and sending signals to output devices in a wide variety of ways. Compare this to your television set. It receives a television signal and decodes it to output the resulting signals to the screen and speakers. It can’t be easily reconfigured to do anything else.
Ease of Development: While analog systems must be developed as electrical circuits, digital signal processing can be developed as computer software and later moved to a dedicated microprocessor system. Thus, development and testing of a digital signal processor is easier and more cost-effective than the equivalent processes for an analog signal processor.
Accuracy/Stability: Digital signal processors are based on digital logic. Thus, there are no sloppy tolerances involved. So the output of a digital signal processor will be far more accurate than that of an analog. In addition, digital signal processors operate on simple logic operations, such as addition and multiplication. This makes them easy to understand and stable to operate.
Storage: Unlike analog signals, digital signals consist of a finite number of data points. As a result digital signals can be easily stored and duplicated. A copy of a stored digital signal will be an exact duplicate with no loss in quality. Compare that with a copy of a tape or videocassette. Every time these stored signals are copied they lose quality. For example, digital audio signals stored on CDs or in digital computer files are of a much higher quality than those you will find on audio tapes or records.
Error and Noise Handling: It is a difficult task to remove noise from or detect errors in data in an analog signal. In a digital signal, however, it is far easier. The existence of extremely powerful error detection and correction algorithms for digital signals makes the use of digital approaches very appealing. Take a common audio CD for example. The music information is stored on the disk as a series of pits and rises or “lands” that represent zeros and ones when read by a laser. The data is encoded in such a way that minor scratches on the disk’s surface that can make some portions of the data unreadable do not hurt the playback of the music. The encoding allows the device to recover from the loss of small amounts of data with no noticeable loss in quality. This is a very desirable ability. We will discuss error detection and correction in further detail in chapter 10.