Skip to main content

Hybrid Beamforming | Page 1



Hybrid Beamforming:

Hybrid beam formation was developed to address some of the limitations of digital pre-coding approaches. Every antenna element is connected to an RF chain in digital pre-coding (beam forming) method. We also know that each RF chain is in charge of providing a separate data stream between the transmitter and the receiver. We know that a larger number of independent data streams leads to higher data rates. It has a spatial multiplexing feature for MIMO. As a result, we may assume that switching from MIMO to massive MIMO will benefit us more in terms of spatial multiplexing in massive MIMO, where each antenna is coupled to a single RF chain. We'll proceed with a definition of hybrid beam forming.


Overview of hybrid beam forming with example:

Unlike digital beam forming, more than one antenna element is connected to a single RF chain in hybrid pre-coder (beam forming). Let me give you an example to help you understand. Let's assume there are 64 antenna elements in a MIMO system and we're only using four RF chains. A single RF chain is used to connect 16 antenna elements. The hybrid pre coder can be divided into two parts at this point. Because 16 antennas are joined to a single RF chain, the signal is sent by all 16 antenna elements. As a result, it can produce a beam and maximize SNR at the receiver. We may, on the other hand, guide the beam in a variety of ways. This is a characteristic of analog pre-coders (beam forming).



Fig: Hybrid Beamforming


Similarly, we can use a digital pre-coding technique to cancel interference across four existing RF networks. As a result, we can define hybrid pre-coding as a strategy that combines a lower-dimensional digital pre-coder with a big array size. The huge array is utilized to boost correlation gain at the receiver side and to remove interference between simultaneous data streams using a digital pre-coder.


Why hybrid beam forming is suitable for massive MIMO system?

Now we'll talk about why we're switching from MIMO to huge MIMO technology and why we're employing hybrid pre-coding. The first reason is that if each antenna element continues to use a single RF chain, signal processing on the reception side will become extremely complex.

Massive MIMO uses hundreds of antenna elements that are put very close together. As a result, there's a danger that antenna elements will be burned. Second, for smaller dimensional MIMO, such as 2 X 2, 3 X 3 MIMO, digital pre-coding is fine. This is also useful for MIMO point-to-point transmission.

However, if the size of MIMO grows larger, such as beyond 8 x 8 MIMO, point-to-point communication becomes less scalable. In the context of signal processing at the receiver, it becomes more complicated. On the other hand, increasing the antenna array size results in better signal correlation at the receiver side, which helps to battle high path-loss, particularly when employing a very high frequency band, such as the millimeter wave band.

Signals in the higher frequency spectrum are reflected and refracted several times. As a result, receiving LOS (Line of Sight) between transmitter and receiver is extremely challenging. Point-to-point communication is not a smart concept in this situation. As a result, we adopt a hybrid pre-coding technique with fewer RF chains and a big array antenna (in the analogue pre-coder component) to boost gain even further. As a result, the hybrid pre-coding technique is both cost-effective and simple. We attain the same degree of performance in hybrid pre-coding as we do in digital pre-coding.



MATLAB is a powerful mathematical tool that assists students, engineers, and scientists in implementing mathematics in complicated systems and producing understandable graphs and graphics. Now, using MATLAB, we will compare different types of beamforming, such as analogue beamforming, digital beamforming, and hybrid beamforming.

Assume you have a MIMO system with 64 antenna elements on the transmitter and 16 antenna elements on the receiver.

MATLAB Script:

Contact Us

Name

Email *

Message *

Popular Posts

BER vs SNR for M-ary QAM, M-ary PSK, QPSK, BPSK, ...(MATLAB Code + Simulator)

Bit Error Rate (BER) & SNR Guide Analyze communication system performance with our interactive simulators and MATLAB tools. 📘 Theory 🧮 Simulators 💻 MATLAB Code 📚 Resources BER Definition SNR Formula BER Calculator MATLAB Comparison 📂 Explore M-ary QAM, PSK, and QPSK Topics ▼ 🧮 Constellation Simulator: M-ary QAM 🧮 Constellation Simulator: M-ary PSK 🧮 BER calculation for ASK, FSK, and PSK 🧮 Approaches to BER vs SNR What is Bit Error Rate (BER)? The BER indicates how many corrupted bits are received compared to the total number of bits sent. It is the primary figure of merit f...

OFDM Symbols and Subcarriers Explained

This article explains how OFDM (Orthogonal Frequency Division Multiplexing) symbols and subcarriers work. It covers modulation, mapping symbols to subcarriers, subcarrier frequency spacing, IFFT synthesis, cyclic prefix, and transmission. Step 1: Modulation First, modulate the input bitstream. For example, with 16-QAM , each group of 4 bits maps to one QAM symbol. Suppose we generate a sequence of QAM symbols: s0, s1, s2, s3, s4, s5, …, s63 Step 2: Mapping Symbols to Subcarriers Assume N sub = 8 subcarriers. Each OFDM symbol in the frequency domain contains 8 QAM symbols (one per subcarrier): Mapping (example) OFDM symbol 1 → s0, s1, s2, s3, s4, s5, s6, s7 OFDM symbol 2 → s8, s9, s10, s11, s12, s13, s14, s15 … OFDM sym...

UGC NET Electronic Science Previous Year Question Papers with Solutions

Home / Engineering & Other Exams / UGC NET 2026 PYQ ⬇️ Download Papers and Solutions 📋 Exam Pattern 💡 Preparation Tips ❓ FAQs 📊 Exam Highlights: Electronic Science (88) Feature Details Junior Research Fellowship (JRF) ₹37,000 + HRA per month Eligibility M.Sc/M.Tech in Electronics (55%) Validity of Certificate JRF (3 Years) | Lectureship (Lifetime) 📥 Download UGC NET Electronics PDFs Complete collection of previous year question papers, answer keys and explanations for Subject Code 88. Start Downloading 📂 View All Question Papers June 2025 - Question Paper Download PDF June 2025 - Solved Paper + Explanation ...

Intel 8086 Transistor Count: Architecture, Specifications, and Comparison with Other Microprocessors

Intel 8086 Transistor Count: Architecture, Specifications, and Comparison with Other Microprocessors Intel 8086 Transistor Count: Complete Guide with Architecture and Processor Comparison The Intel 8086 microprocessor is one of the most important processors in computer history. Released in 1978 , it introduced the x86 architecture that still influences modern CPUs. One of the most frequently asked questions in computer architecture and microprocessor courses is: How many transistors are present in the Intel 8086? The commonly accepted answer is approximately 29,000 transistors . However, reverse-engineering studies have shown that the actual number of physical transistors is closer to 19,618 , while Intel's published figure includes programmable transistor locations used in ROM and PLA structures. Intel 8086 Transistor Count Metric Value Published transistor count ~29,000 Physical transistor count ~19,618 Release year 1978 Word ...

Orthogonal Time Frequency Space (OTFS) (with MATLAB)

In OTFS (Orthogonal Time Frequency Space) modulation — a scheme designed for high-Doppler and time-varying wireless channels — the terms ISFFT and SFFT are key mathematical transformations used to move between different representation domains. Figure: OTFS block diagram 1. ISFFT — Inverse Symplectic Finite Fourier Transform Purpose: Transforms data symbols from the delay-Doppler domain to the time-frequency domain . \[ X[n, m] = \frac{1}{\sqrt{NM}} \sum_{k=0}^{N-1} \sum_{l=0}^{M-1} x[k, l] \, e^{j2\pi \left( \frac{nk}{N} - \frac{ml}{M} \right)} \] Here, \( N \) is the number of Doppler bins (time slots), and \( M \) is the number of delay bins (subcarriers). The ISFFT maps each data symbol from the delay-Doppler grid (where the channel is sparse and easier to equalize) to the time-frequency grid (where standard multicarrier modulation like OFDM can be applied). 2. SFFT — Symplectic Finite Fourier Transform Purpose: Performs the reverse operation ...

Choke Input Filter Explained

  Choke Input Filter Choke Input Filter A well-designed choke input filter is a type of power supply filter used to smooth the output of a rectifier (like in DC power supplies). It uses an inductor (choke) as the first component right after the rectifier, followed by a capacitor. Basic Structure Rectifier → Choke (L) → Capacitor (C) → Load What Makes It Well-Designed? Critical Inductance is satisfied: The choke must have enough inductance to keep current flowing continuously. This minimum value is called critical inductance. Low ripple output: A good design significantly reduces AC ripple in the DC output. The choke resists sudden changes in current. Proper load current: Works best when the load current is above a certain minimum level. Too light a load results in poor filter...

Q-function in BER vs SNR Calculation

Q-function in BER vs. SNR Calculation In digital communications and signal processing, the Q-function plays a significant role in predicting system reliability. It allows engineers to quantify the probability that Gaussian noise will exceed a specific threshold, causing a bit error. What is the Q-function? The Q-function is a mathematical function representing the tail probability of the standard normal (Gaussian) distribution. It is the complementary cumulative distribution function (CCDF) of a standard Gaussian distribution. Q(x) = (1 / √(2Ï€)) ∫â‚“∞ e^(-t² / 2) dt Q-Function Interactive Simulator Move the slider to see how the "Tail Probability" (the area in red) changes. This area represents the Probability of Error (BER) . Threshold Distance ( x ) — (Simulates Increasing SNR) x = 1.0 Q(x) = 0.1587 ...