Chapter 3 Data and Signals
Chapter 3 of Data Communications and Networking by Behrouz A. Forouzan, titled "Data and Signals", covers the relationship between data and the electromagnetic signals used in data transmission. Below are detailed notes:
1. Analog and Digital Data
Analog Data: Continuous values (e.g., sounds, human speech). Example: Sound waves captured by a microphone.
Digital Data: Discrete values (e.g., text stored as 0s and 1s). Example: Binary data in computer memory.
2. Analog and Digital Signals
Analog Signals: Infinite number of values over a continuous range. Example: A sine wave representing voltage changes.
Digital Signals: Finite number of distinct values (e.g., 0 or 1). Represented as square waves.
3. Periodic and Nonperiodic Signals
Periodic Signals: Repeat a pattern over time. Example: A sine wave completing a cycle at regular intervals.
Nonperiodic Signals: Do not exhibit a repetitive pattern. Common in data communication for transmitting irregular data streams.
4. Periodic Analog Signals
Sine Wave: A fundamental concept in signal theory, described by three characteristics:
Amplitude: The height of the wave, representing the signal's strength.
Frequency: The number of cycles a wave completes in a second (measured in Hertz, Hz). Inversely related to the period.
Phase: The position of the wave relative to time zero.
Composite Signals: Signals formed by combining multiple sine waves, each with different frequencies, amplitudes, and phases. Fourier analysis breaks down these complex signals into simpler sine waves.
Bandwidth: The difference between the highest and lowest frequencies in a composite signal. Wider bandwidth allows more data transmission.
5. Digital Signals
Bit Rate: The number of bits transmitted per second (bps).
Bit Length: The distance one bit occupies on the transmission medium.
Digital Signal as Composite Analog Signal: A digital signal is essentially a combination of multiple sine waves, each with different frequencies.
6. Transmission Impairments
Attenuation: Loss of signal strength over distance.
Distortion: Occurs when different parts of the signal travel at different speeds, causing a change in shape.
Noise: Unwanted interference, including:
Thermal Noise: Random motion of electrons.
Induced Noise: External interference from sources like electrical devices.
Crosstalk: Overlapping signals from adjacent wires.
Impulse Noise: Sudden spikes in energy, such as lightning.
7. Data Rate Limits
Nyquist Bit Rate: The theoretical maximum bit rate for a noiseless channel is calculated as
2 * Bandwidth * log2(L)whereLis the number of signal levels.Shannon Capacity: For a noisy channel, the maximum bit rate is determined by the signal-to-noise ratio (SNR) and bandwidth:
Capacity = Bandwidth * log2(1 + SNR).
8. Performance Metrics
Throughput: Actual rate of successful data transmission.
Latency: Total time taken for data to travel from source to destination, including processing and transmission delays.
Bandwidth-Delay Product: The number of bits that can fill the transmission path, calculated as
Bandwidth * Delay.Jitter: Variation in packet arrival times, which can affect real-time applications like video or voice communication.
This chapter provides foundational concepts necessary for understanding how data is transmitted across a network【7:2†source】【7:3†source】【7:4†source】【7:11†source】.
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