An analogue signal is to be transmitted in digital form. The transmission system may be represented in block form as in [Figure 4.1]. The variation with time t of part of the input analogue signal is shown in [Figure 4.2]. The analogue signal is sampled at time intervals of 0.10ms. The first sample is taken at time t = 0. Some values of the sampled analogue signal and the corresponding digital signals are shown in [Table 4.1]. Each digitised number contains four bits.
- (a)State two advantages of the transmission of data in digital, rather than analogue, form.[2]
- (b)(i)In [Table 4.1], underline the least significant bit (LSB) in the digital signal for the time of 0.20 ms.[1]
- (b)(ii)Complete [Table 4.1].[3]
- (c)A single bit from the output of the digital-to-analogue converter corresponds to an output analogue signal of 1.0 mV. Assume that the conversion and transmission do not introduce a time delay. On the axes of [Figure 4.3], show the variation with time t of the output from the digital-to-analogue converter.[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [B2] any two points from: • signal can be regenerated/noise can be removed • signal can be encrypted • signal can be checked for errors • multiplexing is possible • circuits are more reliable/cheaper • data can be transmitted at a greater rate
- [B1] right-hand zero underlined (0110)
- [B1] analogue signals given as: 3.0, 4.8, 1.0
- [B1] 0011 at 0.30 ms and 0001 at 0.50 ms
- [B1] 0100 at 0.40 ms
- [B1] series of steps, all of width 0.1 ms
- [B2] steps levels, in order, at output voltage 0, 5, 6, 3 and 4 mV (2 marks: all levels correct, 1 mark: one level incorrect and all others correct or one level omitted and last step shown at 1 mV)
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