---
title: "ISI mitigation and space diversity techniques"
subject: "Wireless Communication"
chapter: 5
key: "semester_7/wireless_communication:isi-space-diversity"
source: https://www.bctengineer.com/q/semester_7/wireless_communication/isi-space-diversity
site: BCT Engineering
---

# ISI mitigation and space diversity techniques

Wireless Communication · Chapter 5: Equalization and Diversity

- Asked in: 2075 Bhadra, 2+6 marks
- Video: [Diversity Techniques in Antennas / Wireless Communication | Antenna and Wave Propagation Module - 6](https://www.youtube.com/watch?v=jJhxMI3jvi0) — THE BACKBENCH ENGINEERING COMMUNITY
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_7/wireless_communication/isi-space-diversity
- Whole chapter: https://www.bctengineer.com/md/semester_7/wireless_communication/chapter-5

## Question

Describe a signal processing operation that minimizes the effects of ISI. Explain various space diversity techniques.

## Short answer

Equalization minimizes ISI by applying an adaptive inverse-channel filter, trained with a known sequence then tracking with decisions. Space diversity methods: selection (highest SNR branch), feedback/scanning (first branch above threshold), maximal ratio combining (co-phase, weight by SNR, sum), and equal gain combining (co-phase, sum with equal weights).

## Answer

#### Signal processing operation that minimizes ISI: equalization

**Equalization** is the signal processing used at the receiver to reduce **inter-symbol interference (ISI)** caused by multipath delay spread and band-limited channels. When the delay spread is larger than the symbol period, each symbol spreads into the next. An equalizer is a filter whose response is roughly the inverse of the channel response, so that

H_eq(f) · H_ch(f) ≈ constant (flat), i.e. h_ch(t) * h_eq(t) ≈ δ(t)

Because the mobile channel changes with time, the equalizer is **adaptive**: it is first trained with a known training sequence, then tracks the channel in decision-directed mode using algorithms such as LMS or RLS. Common types are linear transversal (FIR) equalizers, decision feedback equalizers (DFE) and MLSE (Viterbi) equalizers.

#### Space diversity techniques

**Space (antenna) diversity** uses two or more antennas spaced far enough apart that their fading is uncorrelated: about λ/2 at the mobile and 10λ or more at the base station. The branch signals are then used in one of these ways:

1. **Selection diversity** – The receiver monitors the SNR of all *M* branches and connects the branch with the highest instantaneous SNR to the demodulator. It is simple and needs one receiver after the switch.

2. **Feedback (scanning) diversity** – The branches are scanned in a fixed order until one is found above a preset threshold; that branch is used until it falls below the threshold, then scanning restarts. Only one receiver is needed, but it performs a little worse than selection.

3. **Maximal ratio combining (MRC)** – Every branch is co-phased, weighted in proportion to its signal amplitude (gain ∝ signal voltage / noise power), and summed. The output SNR is the sum of branch SNRs (γ_M = Σ γᵢ), which is the best possible. It needs a receiver and phase correction on every branch.

4. **Equal gain combining (EGC)** – Branches are co-phased and added with equal weights. It performs only slightly worse than MRC and is easier to build because no amplitude estimation is needed.

```text
 Ant1   Ant2   ...  AntM
  |      |           |
 [G1]   [G2]  ...   [GM]   gains / co-phasing
  |      |           |
  +------+-----+-----+
               |
      Select / Sum (combiner)
               |
          Demodulator
```

Selection and feedback pick one branch; MRC and EGC add all branches.

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Which signal processing operation minimizes ISI?
   A. Interleaving
   B. Equalization
   C. Frequency hopping
   D. Power control
   Answer: B. An equalizer's response is approximately the inverse of the channel's. (Key point: ISI processing)

2. What antenna spacing gives uncorrelated fading?
   A. 10 lambda at the mobile, lambda/2 at the base station
   B. Under lambda/100 at both
   C. About lambda/2 at the mobile, 10 lambda or more at the base station
   D. Exactly one coherence time
   Answer: C. The base station needs larger spacing than the mobile. (Key point: Antenna spacing)

3. How does feedback diversity compare with selection diversity?
   A. Needs M receivers and performs better
   B. Uses all branches equally
   C. Is identical in performance
   D. Needs one receiver but performs slightly worse
   Answer: D. Feedback scans to the first branch above threshold, so it is simpler but poorer. (Key point: Feedback vs selection)

4. How does equal gain combining differ from MRC?
   A. Branches are co-phased and added with equal weights; no amplitude estimation
   B. Branches are weighted by SNR and not co-phased
   C. Only one branch is used
   D. Branches are subtracted
   Answer: A. EGC is slightly worse than MRC but easier to build. (Key point: EGC)

## Related in Wireless Communication

- [ISI mitigation and M-branch RAKE receiver](https://www.bctengineer.com/question.md?key=semester_7%2Fwireless_communication%3Aisi-rake-m-branch) — Wireless Communication, chapter 5
- [Diversity techniques and space diversity combining](https://www.bctengineer.com/question.md?key=semester_7%2Fwireless_communication%3Adiversity-space-combining) — Wireless Communication, chapter 5
- [Space diversity techniques with block diagrams](https://www.bctengineer.com/question.md?key=semester_7%2Fwireless_communication%3Aspace-diversity-block-diagrams) — Wireless Communication, chapter 5
- [ISI, RAKE and linear transversal equalizer](https://www.bctengineer.com/question.md?key=semester_7%2Fwireless_communication%3Aisi-rake-linear-transversal-equalizer) — Wireless Communication, chapter 5
- [Equalization and diversity; space diversity methods](https://www.bctengineer.com/question.md?key=semester_7%2Fwireless_communication%3Aequalization-diversity-space-methods) — Wireless Communication, chapter 5
- [Need for diversity; combining techniques](https://www.bctengineer.com/question.md?key=semester_7%2Fwireless_communication%3Adiversity-combining-techniques) — Wireless Communication, chapter 5

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