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Thanks. FIR filter with Linear Phase is usually stated explicitly but didn't hear the same about CIC filter output. That's why had a doubt. A google search reveals that CIC filters are a class of FIR filters.
You need to follow the initialization sequence for your LCD interface. Timing has to be followed according to datasheet's timing diagram for LCD Enable, Register Select, Read Write & Data bits. You may use a state machine running on SPI clock.
After initialization sequence data can be sent to...