The basis of the analog circuit

In the study of electronic information systems, we are often told that the real world is analog, while the digital world continues to evolve with more sophistication. However, the distinction between numbers and simulations is relative. You can think of analog signals as a combination of infinite numerical values, or you can view numbers as approximations of analog signals with varying spacing characteristics. The difference in this approach lies in the concepts of sampling and quantization! So, how does an analog signal get converted into a digital one? **First, the steps involved in ADC (Analog-to-Digital Conversion)** 1. **Sampling and Holding** If we consider an analog signal as having infinite points, we need to select a finite number of these points for digital transmission. The question is: how many points should be taken, and how should they be selected? This process is governed by the Nyquist Sampling Theorem. **Nyquist Sampling Theorem** In simple terms, the sampling frequency must be greater than twice the highest frequency component of the signal (fs ≥ 2fn). If this condition is not met, aliasing will occur, making it impossible to reconstruct the original signal. The spectrum diagram below illustrates this phenomenon. [Image: Nyquist Sampling Theorem] The purpose of the holding stage is to store the sampled value for further processing. 2. **Quantization and Coding** Quantization involves converting the sampled values into digital bits (0s and 1s) based on specific rules. This step varies depending on the type of ADC used, resulting in different performance characteristics. **Second, various ADC architectures** 1. **Integrating ADC** As the name suggests, this architecture uses an operational amplifier to integrate both the input signal and a reference signal. The output voltage has a rising and falling time, and the duration of this time is counted using a counter. This determines the value of the sampled signal. Features: - High accuracy is achieved through longer integration times, but at the cost of speed. - Strong noise immunity, especially against white noise due to the averaging effect. 2. **Successive Approximation Register (SAR) ADC** This architecture works by comparing the input signal to a reference voltage generated by a DAC. It starts with an initial guess (usually half of the reference voltage), and then adjusts the DAC output based on the comparator's result. This binary search method continues until all bits are determined. Features: - Medium speed (100K–1M samples per second), medium resolution (12–16 bits). - High overall performance, making it one of the most widely used ADC types. - Accuracy depends heavily on the DAC and comparator quality. 3. **Pipeline ADC** This design uses multiple stages of comparators working in parallel, allowing for very high-speed conversion. Features: - Fast operation due to parallel processing. - Higher power consumption and larger chip area due to the number of comparators. - Limited resolution (typically less than 16 bits). 4. **Σ-Δ (Sigma-Delta) ADC** A widely used architecture, especially in high-resolution applications. It uses oversampling and noise shaping to improve performance. **Oversampling and Noise Shaping** By sampling at a much higher rate than the Nyquist frequency, the quantization noise is pushed to higher frequencies, where it can be filtered out. This allows for improved signal-to-noise ratio and accuracy. Features: - High resolution (often 16–24 bits). - Slower conversion speed compared to other architectures. - Uses digital filtering to remove noise and decimate the signal. **Third, key ADC parameters** 1. **Resolution** Determines the smallest voltage change the ADC can detect. For example, a 12-bit ADC with a 3.3V reference has a resolution of approximately 0.8mV. 2. **Conversion Speed** Refers to how fast the ADC can convert an analog signal into a digital value, usually expressed in samples per second (SPS) or conversion time. 3. **Output Interface** Can be serial or parallel, depending on the application and system requirements. 4. **Operating Voltage and Reference Voltage** Both internal and external references can be used, depending on the design and stability needs. 5. **DNL (Differential Nonlinearity)** Measures the deviation between adjacent code transitions. 6. **INL (Integral Nonlinearity)** Reflects the overall deviation of the transfer function from a straight line. 7. **Communication Parameters** Includes clock speed, data format, and interface protocols. **Fourth, ADC Applications** ADCs are essential in a wide range of applications, from audio and video processing to sensor systems and industrial control. Designing an ADC system requires careful consideration of factors such as signal type, sampling rate, accuracy, and environmental conditions. Proper selection of components, stable power supplies, and good PCB layout are crucial for optimal performance. **Fifth, Summary** ADC is a critical component in the signal processing chain, acting as a bridge between the analog and digital worlds. As technology advances, the demand for higher accuracy and faster conversion rates continues to grow. While there is still room for improvement in localizing ADC chips, the future looks promising. Understanding the principles behind ADC enables better application design and deeper insight into hardware development. Ultimately, mastering ADC is like mastering a weapon — it gives you the power to shape the digital world with precision and clarity.

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